Morgan Steve Bank is a new bank that recently opened service with one teller. The bank assume customers will follow a poisson arrival distribution and service pattern is exponential distribution. From market research, they found out that customers will arrive at a rate of four per hour. The teller will take an average of ten minutes to provide service to a customer. Help Morgan Steve bank to determine the following: A. The average number of customers waiting. B. The average time a customer waits. C. The average time a customer is in the bank. D. The average utilization of the Tellers time. One year later, Morgan Steve Bank decides to add an ATM machine outside the bank. They expect customers to arrive at a rate of thirty per hour to the ATM machine. It will take exactly fifty seconds for the ATM to render service to the customer. Help Morgan Steve bank determine the following pertaining to the ATM machine: E. In how much time would you expect the customer to wait in line, use the ATM and leave? F. The number of customers waiting in the system. If the manager of Morgan Steve is considering hiring additional tellers to increase the average utilization to 95% (0.95),

G. Find the optimal number of tellers that should work in the bank? H. What will be the expected ?